{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.1010101 ,  0.2020202 ,  0.3030303 ,  0.4040404 ,\n",
       "        0.50505051,  0.60606061,  0.70707071,  0.80808081,  0.90909091,\n",
       "        1.01010101,  1.11111111,  1.21212121,  1.31313131,  1.41414141,\n",
       "        1.51515152,  1.61616162,  1.71717172,  1.81818182,  1.91919192,\n",
       "        2.02020202,  2.12121212,  2.22222222,  2.32323232,  2.42424242,\n",
       "        2.52525253,  2.62626263,  2.72727273,  2.82828283,  2.92929293,\n",
       "        3.03030303,  3.13131313,  3.23232323,  3.33333333,  3.43434343,\n",
       "        3.53535354,  3.63636364,  3.73737374,  3.83838384,  3.93939394,\n",
       "        4.04040404,  4.14141414,  4.24242424,  4.34343434,  4.44444444,\n",
       "        4.54545455,  4.64646465,  4.74747475,  4.84848485,  4.94949495,\n",
       "        5.05050505,  5.15151515,  5.25252525,  5.35353535,  5.45454545,\n",
       "        5.55555556,  5.65656566,  5.75757576,  5.85858586,  5.95959596,\n",
       "        6.06060606,  6.16161616,  6.26262626,  6.36363636,  6.46464646,\n",
       "        6.56565657,  6.66666667,  6.76767677,  6.86868687,  6.96969697,\n",
       "        7.07070707,  7.17171717,  7.27272727,  7.37373737,  7.47474747,\n",
       "        7.57575758,  7.67676768,  7.77777778,  7.87878788,  7.97979798,\n",
       "        8.08080808,  8.18181818,  8.28282828,  8.38383838,  8.48484848,\n",
       "        8.58585859,  8.68686869,  8.78787879,  8.88888889,  8.98989899,\n",
       "        9.09090909,  9.19191919,  9.29292929,  9.39393939,  9.49494949,\n",
       "        9.5959596 ,  9.6969697 ,  9.7979798 ,  9.8989899 , 10.        ])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "x = np.linspace(0, 10, 100)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.10083842,  0.20064886,  0.2984138 ,  0.39313661,\n",
       "        0.48385164,  0.56963411,  0.64960951,  0.72296256,  0.78894546,\n",
       "        0.84688556,  0.8961922 ,  0.93636273,  0.96698762,  0.98775469,\n",
       "        0.99845223,  0.99897117,  0.98930624,  0.96955595,  0.93992165,\n",
       "        0.90070545,  0.85230712,  0.79522006,  0.73002623,  0.65739025,\n",
       "        0.57805259,  0.49282204,  0.40256749,  0.30820902,  0.21070855,\n",
       "        0.11106004,  0.01027934, -0.09060615, -0.19056796, -0.28858706,\n",
       "       -0.38366419, -0.47483011, -0.56115544, -0.64176014, -0.7158225 ,\n",
       "       -0.7825875 , -0.84137452, -0.89158426, -0.93270486, -0.96431712,\n",
       "       -0.98609877, -0.99782778, -0.99938456, -0.99075324, -0.97202182,\n",
       "       -0.94338126, -0.90512352, -0.85763861, -0.80141062, -0.73701276,\n",
       "       -0.66510151, -0.58640998, -0.50174037, -0.41195583, -0.31797166,\n",
       "       -0.22074597, -0.12126992, -0.0205576 ,  0.0803643 ,  0.18046693,\n",
       "        0.27872982,  0.37415123,  0.46575841,  0.55261747,  0.63384295,\n",
       "        0.7086068 ,  0.77614685,  0.83577457,  0.8868821 ,  0.92894843,\n",
       "        0.96154471,  0.98433866,  0.99709789,  0.99969234,  0.99209556,\n",
       "        0.97438499,  0.94674118,  0.90944594,  0.86287948,  0.8075165 ,\n",
       "        0.74392141,  0.6727425 ,  0.59470541,  0.51060568,  0.42130064,\n",
       "        0.32770071,  0.23076008,  0.13146699,  0.03083368, -0.07011396,\n",
       "       -0.17034683, -0.26884313, -0.36459873, -0.45663749, -0.54402111])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = np.sin(x)\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2a4e82fbdd8>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JwAnbjp2morGd2y9Nv/DOPiQ6IpTl05NYvbtC1zVWgzrT2kVBcQ03z071i5JoPxHhznkZHKhqZl954FwRayJwwgu7yoiOCGFJru8NormQ2y9Np6Wjhw1FVVaHorzQmj0VdPXaue0S//oSBLBqVgqjQoICaqSxJoIRahjwjSgs2H++EfW7LCuW8bERPK/TU6tBvFRYzozUKK9aj9hVxjoajdfuraQlQBqNNRGM0Ordfd+I/K0s1M9mE26/NJ2dJxo4XnfW6nCUFymqaKKkqpnP+/AAsgu5Y246bV29rNsXGFfEmghGwBjDS7vKyEuPZmqS/30j6ve5OWkE2UQbjdWnvFxYRmiwjZV5/jsVw6z0aCbER/Lqx4ExNbsmghHYW97EoZoWbs/3z6uBfgljw7l2Sjyv7amg1x44PSjU0Dq6e3ltTyXLcpOIivCdqdaHS0S4dU4au0rPcLK+1epw3E4TwQis/ricsGAbN+T5T7e5odw8O42a5k4+OHba6lCUFygoqaGpvZvP+/mXIOjrRi0Cr37s/6PsNREMU3evndf3VbEoJ5GxPrT4zEhdNy2BMeHBAfHHoC7slY/KSY0exeUTY60Oxe1SHL/nq7vLsfv5FbEmgmF651AdDa1d3DLbf+ujA4WHBHHDzGTeLKqmtbPH6nCUhepaOnnvSB03zU7B5qPTTQ/XrXPSKGtop/DkGatDcSuXJAIRWSYih0TkqIg8OMjz94pInYjscdy+OuC5e0TkiON2jyvicafVuyuIjQzlqsneu26yq90yJ4327l7eLKq2OhRloXX7KrEbuCmA5utfNj2JiNAg/vqRfzcaO50IRCQI+C2wHMgB7hSRnEF2fdEYM8txe9xxbAzwI2AeMBf4kYh47YT+Te3dFByo4ca8FEKCAudiKn/8ONJjRrF6t5aHAtlruyvITRlLduIYq0PxmIjQYJZPT+aN/VV+PcreFZ9mc4Gjxpjjxpgu4AVg1UUeuxQoMMY0GGPOAAXAMhfE5BYb9lfR1WPn5gApC/UTEW6enca2Y6epbuqwOhxlgeN1Z9lb3hRw732AWy9J5WxnD5tKaqwOxW1ckQhSgYEdzcsd2851q4jsE5FXRKS/y8HFHusVXt1dwYS4SGb6wZS7w3Xz7FSMgdd0nYKA9NqeSkTgRj9Yc2O4LsuKJWlsOGv9eEZSVySCwVqNzm1ifx3INMbMBDYDzwzj2L4dRe4XkUIRKayrqxtxsCNVfqaNnScaHF3KAqOhbKCsuEhmZ0TzmpaHAo4xhtd2V7BgYhyJY8OtDsfjbDbhhpnJvHO4lsa2LqvDcQtXJIJyYGCn4jTgU6nTGFNvjOl0PPwjcMnFHjvgNR4zxuQbY/Lj4z3fUPv63r6h5jcF4KVxv1V5KRysbuFITYvVoSgP2l3WyKmGtoB+76+clUJ3r/HbDhOuSAS7gGwRyRKRUOAOYO3AHURk4MirlcABx/2NwBIRGedoJF7i2OZ1Xt9byeyMaL9ad2C4VsxMxibweoDMv6L6vLa7grBgG0v9cJbdizUjNYqsuEjW7vXP8pDTicAY0wM8QN8H+AHgJWNMsYg8LCIrHbt9Q0SKRWQv8A3gXsexDcCP6Usmu4CHHdu8ytHas5RUNXPjzMCrjw6UMCacyybEsm5vZUAt2hHIenrtrN9fxaJpiYwJgAGUQxERbsxLYfvxemqb/a/DhEv6QBpj1htjJhtjJhpjfuLY9kNjzFrH/YeMMbnGmDxjzLXGmIMDjn3SGDPJcXvKFfG42rp9fQ1l/rQS00jdmJfC8dOtFFc2Wx2K8oAPTzRw+mwXNwbAdCoXsjIvBWPwyxlJA6cz/AgZY3h9byVzM2MCsqHsXMtykwi2Ca/76SWy+rR1+yqJDA3imikJVodiuUkJo8lJHssaP3zvayK4gIPVLRyraw3IbnODGRcZypXZcazbV+X3868Euu5eOxuKqlmUk+hXy1E6Y+WsFPaWNfrdjKSaCC7g9b2VBNmE5dOTrA7Fa6yclUJFYzu7y/x7/pVAt+3oaRrburkhwNvGBur/Quhv5SFNBOdhjGHdviounxhL7Ogwq8PxGoumJRIWbPukS63yT+v2VTEmPJirJsdZHYrXSI0exeyMaN7QRBA49pU3caqhTctC5xgTHsK1UxJ4Y3+VLljjpzp7etlYXM2SnCS/XJPbGdfPSKakqpnS0/5THtJEcB5v7K8iJEhYmqNloXOtmJlMXUsnH/n59LyB6r3Dp2np6AmIxZeGa/mMvn+TN/b7z1WBJoIhGGNYv7+KKybF+fWSfCO1cGoCYcE21vvRH4P6P2/sryJqVAgLJmpZ6Fyp0aOYlR7tV+99TQRDKKpopvxM+yfZX33a6LBgrp4cz4Yi7T3kbzp7etlcUsPS3ERCg/UjYjDXz0imuLLZb3oP6f/yENYXVRFsE5bkBO6w+gu5fmYyNc2d2nvIz2w7epqWzh79EnQey2f0lYv9pTykiWAQxhg27K9i/sRYoiNCrQ7Hay2cmkBokI039vnnRFyBav3+asaEB2tZ6DzSxkWQ50flIU0EgzhQ1UJpfRsr9BvReY0JD+GqyXFaHvIj3b12CkpqWDxNy0IXcv2MJIoqmjlV32Z1KE7T/+lBbCiqwiZoWegirJiRTFVTB3vLG60ORbnA9mP1NLV3s0wHUF7Q8un+03tIE8E5jDG8sb+KyyboILKLcd20REKCxG8ukQPdhqJqIkODuGqy59f88DXpMRHMTItiY7Hvl0Y1EZzjcM1Zjte1akPZRYoaFcKV2fGs31+tU1P7uF67YVNxNddOTdC5hS7S0twk9pQ1UtXUbnUoTtFEcI4NRVWIENCLcAzXstwkKhrbdWpqH7fzRAP1rV3aNjYM/SW0jT6+cpkmgnO8WVRN/vhxJIzRKacv1qKcRGyCX1wiB7INRVWEh9i4ZoqWhS7WxPjRZCeM5k0ff++7JBGIyDIROSQiR0XkwUGe/7aIlIjIPhHZIiLjBzzXKyJ7HLe15x7rSSfrWzlY3cLSXG0oG46YyFDmZsX47XqugcBuN2wsrubqyfFEhAZbHY5PWTY9qe9q6mznhXf2Uk4nAhEJAn4LLAdygDtFJOec3XYD+caYmcArwH8OeK7dGDPLcVuJhfq/0WoiGL5luUkcqT3LsbqzVoeiRmBPeSM1zZ3aW2gEluYmYTew+UCN1aGMmCuuCOYCR40xx40xXcALwKqBOxhjthpj+jvb7gDSXHBel9tYXENO8tiAXqB+pJY4kqeWh3zTxuJqgm3CwinaNjZcuSljSY8Z5dNXxK5IBKlA2YDH5Y5tQ/kKsGHA43ARKRSRHSJy01AHicj9jv0K6+rqnIt4ELXNHXx86ox+IxqhlOhR5KVFsbHYd78VBSpjDJuKa5g/MVYnWBwBEWFZbhLbjtbT3NFtdTgj4opEIINsG7QfoYh8EcgH/mvA5gxjTD7wBeBXIjJxsGONMY8ZY/KNMfnx8a5vzNpUUoMxWhZyxtLpSez1g650geZI7VlOnG795KpODd+y6Ul09drZerDW6lBGxBWJoBxIH/A4DfjM6s4isgj4AbDSGPNJq4oxptLx8zjwNjDbBTEN28biarLiIpmcONqK0/uF/iS6Sa8KfEp/10cdST9ys9PHET8mzGdLo65IBLuAbBHJEpFQ4A7gU71/RGQ28Af6kkDtgO3jRCTMcT8OWACUuCCmYWlq72b7sXqW5CYiMtgFjroYn3Sl8+FaaSDaWFLN7IxoEsdql+mRstmExTmJvH2ojo7uXqvDGTanE4Expgd4ANgIHABeMsYUi8jDItLfC+i/gNHAy+d0E50GFIrIXmAr8IgxxuOJ4K2DNfTYjZaFXGBpbhIfnqinobXL6lDURSg/00ZRRbO+911gSU4ibV29fHDstNWhDJtLOgwbY9YD68/Z9sMB9xcNcdwHwAxXxOCMTcU1JIwJY1ZatNWh+LyluUn879ajvHWwls9d4pWdw9QA/WU8TQTOu3xiHGPCgtlUXMPCqb5VZgv4kcUd3b28c7iOJbmJ2GxaFnLW9NSxJEeFs8lHa6WBZmNxNZMTR5MVF2l1KD4vNNjGNVMT2Hyghl4fm5Y94BPBB8dO09bVy2JdoN4lRPpqpe8eqaO9y/dqpYGkobWLXaUNLNH3vsssyUnk9Nkudp/yrVX7Aj4RbCquYUxYMPMnxFodit9YkpNER7ed9464fryHcp0tB2qwa5dpl7pmSjyhQTY2lfhWz7mATgS9dsPmAzVcMzVBV2NyoXkTYhgTHkyBj/0xBJqCkhqSo8KZnjrW6lD8xpjwEC6fFMvGYt+alj2gP/12nzrD6bNd2n/axUKCbFznqJX29NqtDkcNor2rl3eP1LE4R7tMu9qSnCRO1rdxuMZ35t0K6ERQUFJDSJDotLtusCQ3iTNt3Xx00rdqpYHi/aOn6ei2s1i/BLncopwExMemZQ/YRGBM37S78yfGMSZc51dxtasmxxMa7Hu10kCxqbiaMeHBzMvStjFXSxgTzuz0aJ8qjQZsIjhae5bS+jYtC7nJ6LBgrpgU53O10kDQazdsOVjLtVO0bcxdFucksb+iyWfm3QrYd0H/N1W9NHafxTmJlJ9p52B1i9WhqAE+OnmGhtYuluhyrG7T/7my2UeuCgI6EeSl6/wq7nTdtL5aqS9dIgeCgpJqQoKEqydr25i7TEoYzYS4SJ8pjQZkIqhp7mBvWaOWhdwsYUw4s3ysVurvjDFsKqnpmw5B28bcanFOIjuO+8YaBQGZCPqXlNOykPstzkn0qVqpvztSe5aT9W363veAxTmJdPca3jnk/QMrAzIRFJTUMD42guwEXXvA3Zb4WK3U3xVo25jHzM4YR2xkqE9cEQdcIjjb2cMHR+tZPE0H0njCxPi+Cc18pVbq7zaV1JCXFqVtYx4QZBOum5bA1kO1dHv5wMqASwTvHq6jq1cH0nhK/yR0vlIr9Wf9bWP63vecxTlJtHT08OHxBqtDOa+ASwQFJTWMiwjhkvHjrA4lYPhSrdSf/V/bmE4y5ylXTIojPMRGQYl3jzJ2SSIQkWUickhEjorIg4M8HyYiLzqe/1BEMgc895Bj+yERWeqKeIbS3WvnrYO1XDs1geCggMuBlpnjQ7VSf7a5pIaMmAhdl9uDRoUGcWV2PAUlNV49sNLpT0MRCQJ+CywHcoA7RSTnnN2+ApwxxkwCfgn8zHFsDn1rHOcCy4BHHa/nFrtKG2hq79Zuox4WZBMWTvWNWqm/au3sYduxep1kzgKLpyVS2dRBcWWz1aEMyRVfi+cCR40xx40xXcALwKpz9lkFPOO4/wpwnfS9G1cBLxhjOo0xJ4Cjjtdzi4KSGkKDbVyZrQNpPG1xTqJP1Er91buH6+jqsbNomn4J8rSFPjCw0hWJIBUoG/C43LFt0H0ci903AbEXeSwAInK/iBSKSGFd3chqzR3ddq6bmkBkmEuWalbDcGV2POEhtk/q1MqzCkpqiI4I4dJMbRvztLjRYVySMc7vE8Fg15nnFsOG2udiju3baMxjxph8Y0x+fPzIvtH/9JYZPHrXnBEdq5wzKjSIKyZ5f63UH/X02nnrUC0Lp2jbmFUW5yRSUtVMRaN3Dqx0xbuiHEgf8DgNqBxqHxEJBqKAhos81qW0PmqdxTkJVDS2U1LlvbVSf7Sr9AyNbd3abdRC3j4JnSsSwS4gW0SyRCSUvsbftefssxa4x3H/c8Bbpu9r4VrgDkevoiwgG9jpgpiUF1o4NdHra6X+qL9t7CqdZM4yE+JHMzE+0mvf+04nAkfN/wFgI3AAeMkYUywiD4vISsduTwCxInIU+DbwoOPYYuAloAR4E/i6MabX2ZiUd4ofE8YcL6+V+htjDAUHqlkwMVbbxiy2OCeJHcfraWr3voGVLikYGmPWG2MmG2MmGmN+4tj2Q2PMWsf9DmPMbcaYScaYucaY4wOO/YnjuCnGmA2uiEd5r8U5iRRXem+t1N8cqmmhrKFdB5F5gcU5ifTYDW8fqrU6lM/QliPlUd5eK/U3BcV9/86LpiVYHImanR5N3Ogwr7wi1kSgPGpi/GgmeHGt1N8UHKhhVno0CTrJnOVsNmHRtATeOdQ3psObaCJQHtc/CZ031kr9SXVTB/vKm7S3kBdZnJNIS2cPO4KM8qYAABcoSURBVI7XWx3Kp2giUB63xItrpf6kwDF4T6dU8R4LJsURERrEJi+bhE4TgfK4WenjiBsdpmsUuFlBSQ2ZsRFM0gWYvEZ4SBBXZcezuaTWqwZWaiJQHhc0oFba2aO9hd2hpaOb7cdO6yRzXmhJbiLVzR3sr2iyOpRPaCJQlliSm8jZzh62H/OuWqm/eOdwHd29RruNeqGFUxMIsgmbir3nilgTgbLE5RP7aqXae8g9NhbXEBsZqgsweaHoiFAuzfSugZWaCJQlwkOCuHpy3yR0drv31Er9QWdPL1sP1rJoWiJBNi0LeaMlOUkcqmnhZH2r1aEAmgiUhZbkJlLb0sne8karQ/ErO443cLazhyW52lvIW/V36fWWqwJNBMoy107pq5V6yx+Dv9hUXE1EaBALJsVZHYoaQnpMBFOTxnhNO4EmAmWZ6IhQ5mXFaDdSF7LbDQUlNVw9OZ7wELet+qpcYEluEoUnGzh9ttPqUDQRKGstzknkaO1ZjtedtToUv7C3vJHalk4tC/mApbmJ2A1s8YJV+zQRKEstye3r3rjRSy6Rfd2mkhqCbMLCKZoIvF1O8ljSxo3yive+JgJlqdToUcxIjWJjsXcNufdVm4qruWxCDFERIVaHoi5ARFiam8T7R05ztrPH0lg0ESjLLc1NZE9ZI9VNHVaH4tOO1Z3lWF0rS3QQmc9YkpNIV6/d8nm3nEoEIhIjIgUicsTx8zOjV0RklohsF5FiEdknIrcPeO5pETkhInsct1nOxKN801JHeajAyybi8jX9V1U626jvyM+MITYy1PLykLNXBA8CW4wx2cAWx+NztQF3G2NygWXAr0QkesDz3zHGzHLc9jgZj/JBkxL61iiw+o/B120sqiYvLYqU6FFWh6IuUt+8W4lsPVhr6bxbziaCVcAzjvvPADedu4Mx5rAx5ojjfiVQC+gq2uoT/bXSHcfraWrTNQpGoqKxnb3lTSydrmUhX7N0uvXzbjmbCBKNMVUAjp/nXQ9PROYCocCxAZt/4igZ/VJEws5z7P0iUigihXV1dU6GrbzN0twkeuyGLQf1qmAkNjnKQstyNRH4mssnxhEZGmTpFfEFE4GIbBaRokFuq4ZzIhFJBp4D7jPG9K/T9hAwFbgUiAG+N9TxxpjHjDH5xpj8+Hi9oPA3M1OjSBobzptF2k4wEm8WVTM5cTQT4nXtAV8THhLENVMSKCipodeiebcumAiMMYuMMdMHua0Bahwf8P0f9IM2fYvIWOAN4J+NMTsGvHaV6dMJPAXMdcUvpXyPzSYszU3k3SN1tHfpGgXDUX+2k12lDXo14MOWTk/i9NlOPjp5xpLzO1saWgvc47h/D7Dm3B1EJBRYDTxrjHn5nOf6k4jQ175Q5GQ8yoctzU2io9vOO4d1Ccvh2HygBrtB2wd82MKpCYQG29hQVGXJ+Z1NBI8Ai0XkCLDY8RgRyReRxx37fB64Crh3kG6ifxaR/cB+IA74dyfjUT5sblYM4yJC2KDloWF5s6ia9JhR5CSPtToUNUKjw4K5KjuejUXVlixhGezMwcaYeuC6QbYXAl913P8T8Kchjl/ozPmVfwkOsrE0N4l1+6ro7OklLFgnTbuQ5o5uth2t5+7543VJSh+3fHoSmw/UsLe8iVnp0Rc+wIV0ZLHyKsumJ3G2s4f3j5y2OhSfsPVgLV29dpZpWcjnLZqWSLBN2LDf8+UhTQTKq1w+MY6x4cGs36/loYuxfn8ViWPDmJOhS1L6uqiIEC6fFMcGC8pDmgiUVwkNtrEoJ5GCkmq6euwXPiCAtXb28PahOpZPT8amS1L6heXTkzjV0EZJVbNHz6uJQHmdFdOTae7oYftx60Za+oK3DtbS2WNnuZaF/MaSnERsgsfH02giUF7niuw4RocFW1Ir9SXr91cRPyaM/MwYq0NRLhI7Oox5WbEe7zmniUB5nfCQIBZOTWBjcTU9vVoeGkxbVw9bD9WyfHoSQVoW8isrZiRxtPYsh2taPHZOTQTKK62YkcSZtm52HG+wOhSvtPVgHR3ddlbMSLY6FOViS6cnYRNYt89zV8SaCJRXunpyAhGhQbyh5aFBrd9fRdzoMC7VspDfSRgTzrysWNbtq/RY7yFNBMorjQoNYtG0RDYUVdGt5aFPae/q5a2DtSybnqhlIT91Q14yx+taOVjtmfKQJgLltW6YmUxjWzfbjurgsoG2HqqlvbtXy0J+bFluX9vPun2VHjmfJgLlta6eEs+YsGCP1kp9wbp9lcQ5epco/xQ7OozLJ8aybl+VR8pDmgiU1woLDmJxbiIbi6stXcbPm7R0dLPlQC03zEzWspCfu35GMifr2yiudP/gMk0EyqvdmJdCS0cP7x7W8hBAQUkNnT12bsxLsToU5WZLc5MItgmve6A8pIlAebUrJsURHRHisVqpt3t9byWp0aOYk+HZ2SmV542LDGXBpDje8EB5SBOB8mohQTaW5SaxuaQm4FcuO9PaxXtHTnNjXopOOR0gbpiZTPmZdnaXNbr1PE4lAhGJEZECETni+DnoFIgi0jtgUZq1A7ZniciHjuNfdKxmptSn3JiXQmtXL1sPBfbKZeuLquixG27M095CgWLp9CTCgm2s2V3h1vM4e0XwILDFGJMNbHE8Hky7MWaW47ZywPafAb90HH8G+IqT8Sg/NC8rhrjRYazZ494/Bm/3+t5KJsZH6kpkAWRseAiLpiWybp97x9M4mwhWAc847j9D37rDF8WxTvFC4JWRHK8CR3CQjZV5KWw9WEdjW5fV4ViiuqmDD080sDIvVctCAWbVrBTqW7t4343jaZxNBInGmCoAx8+EIfYLF5FCEdkhIv0f9rFAozGmx/G4HEh1Mh7lp26Zk0pXrz1gF6zpm24ALQsFoGumJBA1KsSt5aELrlksIpuBwSY8/8EwzpNhjKkUkQnAW44F6wfrHDtk07iI3A/cD5CRkTGMUyt/kJsylkkJo3ltdwVfmBd4//+vflxBXloUE+JHWx2K8rDQYBsrZiSzZk8FbV09RIQ6tdT8oC54RWCMWWSMmT7IbQ1QIyLJAI6fg7bmGWMqHT+PA28Ds4HTQLSI9P9WacCQfQSNMY8ZY/KNMfnx8fHD+BWVPxARbp6dys7SBsoa2qwOx6MOVDVTUtXMLXPSrA5FWeSmWSm0dfVSUFLjltd3tjS0FrjHcf8eYM25O4jIOBEJc9yPAxYAJaavY+xW4HPnO16pfqtm9Q2iCrRG49W7Kwi2iQ4iC2CXZsaQEhXOa24qDzmbCB4BFovIEWCx4zEiki8ijzv2mQYUishe+j74HzHGlDie+x7wbRE5Sl+bwRNOxqP8WNq4COZmxbB6d4XHF/e2Sk+vndW7K7h2agIxkdq7OlDZbMLKWam8e+Q09Wc7Xf76ThWbjDH1wHWDbC8Evuq4/wEwY4jjjwNznYlBBZabZ6fy0Kv7KapoZkZalNXhuN22Y/XUtXRy6xztRxHobp6dSkVjO21dvbh6ukEdWax8yooZyYQG2/jrx+VWh+IRr35cTtSoEK6dOlSHPBUopiSN4Td3ziY9JsLlr62JQPmUqFEhLMlJ5LU9FX4/I2lLRzcbi6u5MS+ZsOAgq8NRfkwTgfI5t1+aTmNbt9t6UHiLDUXVdHTbtbeQcjtNBMrnLJgYR2r0KF7cVWZ1KG710q4yJsRFMjtdZxpV7qWJQPkcm0343CVpvH/0NOVn/HNMweGaFgpPnuGOuek6pYRyO00Eyifdlt9XLnnlI/9sNH5hZxkhQcKtWhZSHqCJQPmktHERXDEpjpcLy7Hb/WtMQUd3L6/uLmdJThKxo8OsDkcFAE0Eymd9Pj+disZ2PjhWb3UoLrWxuJrGtm7umJtudSgqQGgiUD5rcU4i0REhPL/zlNWhuNQLO8tIjxnFgolxVoeiAoQmAuWzwkOCuO2SNDYWV1PT3GF1OC5RerqV7cfruT0/HZtNG4mVZ2giUD7ti5eNp9cY/vKhf1wVPL/rFEE24bZ8LQspz9FEoHza+NhIrpkcz192nqKrx31L+XlCe1cvL+4qY/G0RBLHhlsdjgogmgiUz7t7fiZ1LZ1sLPbt1cte21NBY1s39y3ItDoUFWA0ESifd/XkeDJiInhu+0mrQxkxYwxPbTvBtOSxzM2KsTocFWA0ESifZ7MJX7psPDtLGzhQNdgKqN5v+7F6Dtec5b4FmTqSWHmcJgLlF27LTyMs2Maz20utDmVEntxWSmxkKCt1FTJlAacSgYjEiEiBiBxx/Bw3yD7XisieAbcOEbnJ8dzTInJiwHOznIlHBa7oiFBumZPGXz+uoLbFt7qSnqpvY8vBGr4wL4PwEJ1uWnmes1cEDwJbjDHZwBbH408xxmw1xswyxswCFgJtwKYBu3yn/3ljzB4n41EB7G+umkBPr52ntpVaHcqwPP1BKUEifPGy8VaHogKUs4lgFfCM4/4zwE0X2P9zwAZjjH9OGakslRkXyfLpyfxpx0laOrqtDueiNLR28cKuU9yYl6JdRpVlnE0EicaYKgDHzwutp3cH8Pw5234iIvtE5JciMuQMWyJyv4gUikhhXV2dc1Erv/W3V0+kpaPHZwaYPbXtBG1dvfz9NROtDkUFsAsmAhHZLCJFg9xWDedEIpJM3yL2GwdsfgiYClwKxADfG+p4Y8xjxph8Y0x+fHz8cE6tAsiMtCgWTIrlifdPeP1Sls0d3Tz9QSnLpyeRnTjG6nBUALtgIjDGLDLGTB/ktgaocXzA93/Q157npT4PrDbGfHLNboypMn06gaeAuc79OkrB3109idqWTlZ/XGF1KOf13PaTtHT08PVrJ1kdigpwzpaG1gL3OO7fA6w5z753ck5ZaEASEfraF4qcjEcpFkyKZUZqFI++fYzuXu+cdqKtq4fH3zvOtVPimZ4aZXU4KsA5mwgeARaLyBFgseMxIpIvIo/37yQimUA68M45x/9ZRPYD+4E44N+djEcpRIRvLc7mVEOb165r/JcPT3GmrZsHFmZbHYpSBDtzsDGmHrhukO2FwFcHPC4FUgfZb6Ez51dqKNdOSeDSzHH8essRbp2TxqhQ7+mf39LRze/fOcblE2O5ZPxnht4o5XE6slj5JRHhu8umUtvSydMflFodzqf84Z3jnD7bxfeWTbU6FKUATQTKj12aGcO1U+L5/TvHaGr3jnEFVU3tPP7+cVbmpZCXHm11OEoBmgiUn/vO0qk0tXfzh3eOWR0KAD/fdBi7Hb6zdIrVoSj1CU0Eyq/lpIzlplkpPP7+CUpPt1oaS0llM3/9uJx7F2SSHhNhaSxKDaSJQPm9h1ZMIzTIxr+sKcIYY0kMxhj+/Y0SokaF8PVrdNyA8i6aCJTfSxwbzj8tmcx7R06zbl+VJTG8/FE5Hxyr5x8XTyYqIsSSGJQaiiYCFRC+ND+TGalRPLyuxOMNxzXNHfx4XQlzs2K4a57OMKq8jyYCFRCCbMJ/3DyD+rOd/PfGQx47rzGGH6wuoqvHzs9unYnNpquPKe+jiUAFjBlpUdx7eRbP7TjJlgM1Hjnn6/uq2Hyghn9aMoWsuEiPnFOp4dJEoALKd5dNISd5LN9+aS/lZ9y7LMap+jZ+uKaIvPRovnxFllvPpZQzNBGogBIeEsSjd83Bbjc88JfddPW4Z1K61s4evvZsIcbA/9w+iyAtCSkvpolABZzMuEj+83Mz2VPWyE83HHD569vthm+/tIcjtS387xdmk6klIeXlNBGogLR8RjL3LcjkqW2lPPr2UZe+9q/fOsLG4hq+v2IaV2brIkrK+zk1+6hSvuyfr8+hobWL/3zzECE2G1+7aoJTr2eM4bdbj/KrzUe4ZU4qX9F2AeUjNBGogBVkE35+Wx49dsNP1h/AZpMRf3jb7YZ/f+MAT247wS2zU/nZrTPpW29JKe+niUAFtOAgG7+6fRZ2u+HH60ooqmji31blMjb84kf/tnR08y+vFfHankq+vCCLf75+mo4XUD7FqTYCEblNRIpFxC4i+efZb5mIHBKRoyLy4IDtWSLyoYgcEZEXRSTUmXiUGomQIBu/uXM231o0mbV7K1n+q/fYfqz+gscZY1izp4KFP3+HNXsr+c7SKfzLDZoElO8RZybhEpFpgB34A/BPjpXJzt0nCDhM31KW5cAu4E5jTImIvAS8aox5QUR+D+w1xvzuQufNz883hYWfOZVSTtt96gzfenEPpfVt5KVHc9sladyYl0LUqP+7QjhV38Y7R+pYu6eCXaVnmJkWxY9XTdf1BZTXE5GPjDGf+dLuVCIY8OJvM3QimA/8qzFmqePxQ46nHgHqgCRjTM+5+52PJgLlTq2dPTy/8xQvF5ZzqKYFERgdGkxkWDAiUNXUAUDauFH87dUTuXNuho4TUD5hqETgiTaCVGDgCuLlwDwgFmg0xvQM2P6ZdY37icj9wP0AGRkZ7olUKSAyLJivXjmBr1yRRVFFM5sP1NDc0U1rZw9dPXby0qO5enI8WXGR2iCs/MIFE4GIbAaSBnnqB8aYNRdxjsH+Usx5tg/KGPMY8Bj0XRFcxHmVcoqIMCMtihlpUVaHopRbXTARGGMWOXmOciB9wOM0oBI4DUSLSLDjqqB/u1JKKQ/yxMjiXUC2o4dQKHAHsNb0NU5sBT7n2O8e4GKuMJRSSrmQs91HbxaRcmA+8IaIbHRsTxGR9QCOb/sPABuBA8BLxphix0t8D/i2iBylr83gCWfiUUopNXwu6TXkadprSCmlhm+oXkM66ZxSSgU4TQRKKRXgNBEopVSA00SglFIBzicbi0WkDjg5wsPj6BvDEEj0dw4M+jv7P2d/3/HGmM+sluSTicAZIlI4WKu5P9PfOTDo7+z/3PX7amlIKaUCnCYCpZQKcIGYCB6zOgAL6O8cGPR39n9u+X0Dro1AKaXUpwXiFYFSSqkBNBEopVSAC6hEICLLROSQiBwVkQetjsedRCRdRLaKyAERKRaRb1odk6eISJCI7BaRdVbH4gkiEi0ir4jIQcf/93yrY3I3EfmW431dJCLPi0i41TG5mog8KSK1IlI0YFuMiBSIyBHHz3GuOFfAJAIRCQJ+CywHcoA7RSTH2qjcqgf4R2PMNOAy4Ot+/vsO9E36pjwPFP8DvGmMmQrk4ee/u4ikAt8A8o0x04Eg+tY58TdPA8vO2fYgsMUYkw1scTx2WsAkAmAucNQYc9wY0wW8AKyyOCa3McZUGWM+dtxvoe/DYcg1of2FiKQB1wOPWx2LJ4jIWOAqHGt5GGO6jDGN1kblEcHAKBEJBiLww9UNjTHvAg3nbF4FPOO4/wxwkyvOFUiJIBUoG/C4nAD4YAQQkUxgNvChtZF4xK+A7wJ2qwPxkAlAHfCUoxz2uIhEWh2UOxljKoD/Bk4BVUCTMWaTtVF5TKIxpgr6vuwBCa540UBKBDLINr/vOysio4G/Av/PGNNsdTzuJCI3ALXGmI+sjsWDgoE5wO+MMbOBVlxULvBWjrr4KiALSAEiReSL1kbl2wIpEZQD6QMep+GHl5MDiUgIfUngz8aYV62OxwMWACtFpJS+0t9CEfmTtSG5XTlQbozpv9p7hb7E4M8WASeMMXXGmG7gVeByi2PylBoRSQZw/Kx1xYsGUiLYBWSLSJaIhNLXuLTW4pjcRkSEvrrxAWPML6yOxxOMMQ8ZY9KMMZn0/f++ZYzx62+KxphqoExEpjg2XQeUWBiSJ5wCLhORCMf7/Dr8vIF8gLXAPY779wBrXPGiwa54EV9gjOkRkQeAjfT1MnjSGFNscVjutAD4ErBfRPY4tn3fGLPewpiUe/wD8GfHF5zjwH0Wx+NWxpgPReQV4GP6esftxg+nmhCR54FrgDgRKQd+BDwCvCQiX6EvId7mknPpFBNKKRXYAqk0pJRSahCaCJRSKsBpIlBKqQCniUAppQKcJgKllApwmgiUUirAaSJQSqkA9/8B6DWfSZYNk14AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100,)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cosy = np.cos(x)\n",
    "cosy.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "siny = y.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color='red')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ynyGEaA90BL6ps9hXCLFdCLFFCDGpoZMIIWZZttuen+9GjVaCg+Hee1VcdWYm+7OK+P5IPjOv6YivlxskADXBwI4hXNWhHe9+f5zKarPWclo3UsLf/65cLtdfr7WaphFCdUc7cgSWLKG8qoY5m04yons43aNcXA/JBtr6ejFjaEfWpOdyJLd15xU4whDUN35tqH7BNOBzKWVdP0SCpZny7cC/hRD1VmSTUr4rpUyRUqaEh4fbp9jR/Pa36onoP//hrfXHCPTx5M7BthWn04JfjejC2aJyI9tYazZvVnkDDz/sHlnEzWHKFOjYEV5+mc93ZFJQUskvXFxU0R6mX90eH08TH2w8qbUUTXGEIcgE6vpA4oCGCt9P4wq3kJTyrOX9OLAe6OcATa6lY0d45BEK2ndh+f5s7hjcnra+bpIA1AyGdwunR1QgH2w8aTSv0ZJ//1uNMO++W2slzcfTEx55BDZvZvNHS+gTH8ygjtrV07KW0AAfJveL5cudmZxvxSXaHWEIfgS6CiE6CiG8UT/2P4v+EUJ0B9oBm+ssayeE8LF8DgOGAvpM+XvlFd5KGIqHENwztIPWaqxCCMGMIR04mF3MthOFWstpnZSVqcCDWbPA3/lNWxzKPfdw+KHH2eQRygPDOiHcfZL7Cu4Z2pGKajPzWvE8md2GQEpZDTwErAIOAguklAeEEM8JIepGAd0GzJeXP3L2BLYLIfYA3wIvSSl1aQhKK6v5etNR/nxuK5H++hkN1DKxbyxBbbyYs+mk1lJaJ23aqASyp5/WWon1+Pvzp+RJBMRFMSYpSms1VtM9KpChXUL5cNMpqmpa5zyZQ2IbpZTLpZTdpJSdpZQvWpY9I6VcUmebP0spn7xiv01Syl5Syj6Wd8d1yXYxi3adpe+hbdz53nOwaJHWcqymjbcH0wbGszo9lyyj0b1rqaiAykpVT8jVTWccwKEcNZL8U8UhPGZrWCrbDmYO7UhOcTkr9udoLUUT3DfIXUdIKZm76SRZ16YiExLgrbe0lmQTdw1uj5TSSDBzNe+9p+aZcnO1VmITH285hY+nieE71sKTTyo3l84Y0T2CDqF+/LeVNq4xDIED2HqikMO5F7nrmk6IWbNg3ToVUqcz4tr5kZoYybxtp40S1a5CStULOC5O9QfWGRfLq/hqZxbj+8Tg/ZuHVCe1hQu1lmU1JpPgnqEd2X3mArvP2NaOU88YhsABzN10kmA/Lyb2jYWZM1Ukxbvvai3LJmYM6ciF0iqW7G4o8MvAofzwAxw6pHpc6JCvdmVRUlnDXYPbqzaa3burXh065Kb+sbTx8mDe1tY3aWwYAjvJLipjdXouU1PiVQJZdLRKuz90SGtpNjG4UwjdIgP4ZKvhHnIJ77wDQUEwdarWSqxGSslHm0/RJy6IPvHBKsHsV7+CrVthxw6t5VlNoK8XE/rEsGTPWS62skKMhiGwk4XbM6kxS+4YVCeB7KOP9FEioB6EEEy7KoE9mUWkny3WWk7LprAQPv8c7rwT/Ny3Lk9DbDleyNG8S5cnT06fDv37q79Nh9w2KIGyqhoWt7IRsWEI7MBslizYfoahXUJJCK1zI/v6qvcifRazmtwvFm8PEwu2n2l6YwPbCQ6Gr79W9ap0yKfbThPUxovxdSvsBgWp0UBqqnbC7KBPXBA9o9vy6dbTrSq50jAEdrDpWAGZ58u4tb7icitWqMm/fftcL8xO2vl7k5YcxZc7M41JY2diMqkfzC5dtFZiNRdKK1l1IIfJ/WLrr6lVWqryInSGEILbB8aTnl3Mvix9PsjZgmEI7OCz7WcIauPF2PqSaAYOVO/vvedaUQ5i2lXxFJdXs7KVxlU7nS1bVJc7nbpQluw5S2W1uf6HIICxY92rxaYVTOwXi6+XiXnbWs+ksWEIbOR8SSWr9jfyRBQaqiaNP/1UJQvpjMGdQmkf6sf8Vpx271TeeANmz/6fG1FnLNh+huTYtiTGtK1/gylTVAE9HY6I2/p6Mb53DIt3n+VSRbXWclyCYQhsZNHuLCprzEy9qpGeAzNmQEGBLieOTSbBrSnxbDleyIlzJVrLaVkUF8MXX8Dtt+tykvjA2SL2ZxU3PBoANRrw8oIPPnCdMAcybWACpZU1LNvbOiaNDUNgA1JKPvvxzE8TSw2SmgoxMTBnjsu0OZJbBsThYRLGqMDRLFyosm+nT9daiU0s3J6Jt6ep8Tas4eEwYYKKoNPhiLh/QjCdwvz5YmfrKM1uGAIb2JdVxKGci9za2GgAVE352bNVBycdEtHWlxHdw1m0K4sac+uJoHA6c+aoxKvaeSQdUVFdw6LdWYxNiiLYz7vxjWfOhHPn4JtvGt/ODRFCMGVAHNtOFHKmsFRrOU7HMAQ28OXOLLw9TdzYuxmN6dPS1E2vUyb3iyO3uILNxwq0ltIyqK6Gzp1VJrHOyjUDrEnP5UJpFbemxDW98ZgxsH27mjjWIZP6xSIEfLEzU2spTscwBFZSVWPm6z1nSe0ZSVCbZpab3rRJdZ3SYVzyqJ4RBPp68mUruBlcgqenGhHoNHfg8x2ZxAT5MqRzWNMbe3rCgAG6NHgAscFtuLpTKF/uzGrxOQWGIbCS74/kU1BSyeR+9bZlrp99+1T3KR2m3ft6eXBj72hWHsihpJVEUDgNs1mXUTS1nLtUwYaj55jULxYPUzN/3CsrlYtIp7W3pvSP43RhKdtPnddailMxDIGVfLkrixB/b67rbkXf5KlTwccH5s51njAnMrlfHKWVNaw6YOQU2MUPP0Dv3rrsVwGwdM9ZasySSdY8BHl7w969ujUEaclR+Hl78MWOlj0idoghEEKkCSEOCyEyhBBP1rN+hhAiXwix2/K6r8666UKIo5aXW4dRFJdXsSY9l/G9o/HysOKfLjgYxo+Hzz5TPmKdkdK+HXHt2vDVrtYRQeE0PvwQAgJ0W37hq91nSYxuS7dIK5vn3HGHGg3rsBCjv48n45KjWbY3u0Vn2dttCIQQHsAbwDggEbhNCJFYz6afSSn7Wl7vW/YNAZ4FBgEDgWeFEO3s1eQsVuzLprLazOT+zZgou5I77oD8fFi71vHCnIzJJLipXywbM86RU1SutRx9Ul6uwkanTNFfT2LgxLkS9py5YJ1LtJZp01Q5jU8+cbwwFzClfywXK6pZk67PxkHNwREjgoFAhpTyuJSyEpgPTGzmvmOBNVLKQinleWANkOYATU7hy51ZdArzp09ckPU7jxsHffvCxYuOF+YCJvePwyxh8W5jVGATy5erRDKdll1YtCsLIbi8wFxziY6GUaNUlr0OJ10HdQolsq0PS/a03OQyRxiCWKBumcpMy7IrmSKE2CuE+FwIURuA39x9EULMEkJsF0Jsz8/Pd4Bs68g8X8rWE4WWkDIboiB8fGDXLrjlFseLcwEdw/zpGx9suIdsZcECiIhQzVt0hpSSRbuzGNI5lKggG0tiPPAA3HijLttYepgE43vHsP5wHkWlLbNPgSMMQX2/ilea/a+BDlLK3sBaoHbWtDn7qoVSviulTJFSpoSHWzFR6yC+3pMNwKS+NgyN61JdrdvetBP7xnAo5yIZefoc1WjK++/DsmUqpFJn7D5zgVMFpfZd+zfdBK+9psuSGgAT+sZQVSNZeSBbaylOwRGGIBOom2IbB1w2hpJSFkgpKyxf3wMGNHdfd+HrPWfpGx98ed8BWxg4EGbNcowoF3NDr2iE+J9RNLCCgABISdFahU0s2pWFj6eJtOR6quxag9kM33+vy5ITvWKD6BDq12LdQ44wBD8CXYUQHYUQ3sA0YEndDYQQ0XW+TgAOWj6vAsYIIdpZJonHWJa5FcfyL5GeXWybf/RKRo5UvQp0WH44oq0vgzuG8vWesy0+wcah/O53ui2+Vl1jZtm+bEb3jCTQt5kJlA2xahVcdx2sWeMYcS5ECMGEPjFsOlZAXnHLC5iw2xBIKauBh1A/4AeBBVLKA0KI54QQEyyb/UYIcUAIsQf4DTDDsm8h8DzKmPwIPGdZ5lYs3ZONEOqJ2G5uvx2qqlSLQh0yvk8Mx8+VcMBoY9k88vLg9dfhyBGtldjE1hOFnLtUyY29HXDtjxqlQqkXLLD/WBowoW8MUsLSvS1vROyQPAIp5XIpZTcpZWcp5YuWZc9IKZdYPj8lpUySUvaRUo6QUh6qs+9/pZRdLC+3e2ySUrJkTxYDO4TYPlFWl379VO2h+fPtP5YGjEuOwtMk+LqVlOe1m4ULoaZGPQDokKV7z+Lv7cGIHhH2H8zbGyZPVgl15fp7qu4SEUjP6LYt0j1kZBY3waGcixzLL+FGR7iFQNVdmToVvvsOcvSXqdvO35tru4axdE+24R5qDvPmQVIS9OqltRKrqaoxs2J/DqMTI+tvvmQLU6eqMNpVbucBbhYT+8aw+8wFThe0rIqkhiFogqV7z+JhEoyzd6KsLvfeC+vWqZrtOmR8nxiyLpSx8/QFraW4N2fOwMaNKqFKh2zMOMeF0qrmVdltLiNHqu59S5Y0va0bUjtP2NJGxIYhaAQpJV/vyWZI51DCAnwcd+CEBBg+XPUr0CGpiZH4eJr4ugUOkR1KUZEqxXzrrVorsYmle7MJ9PFkWLdmVBptLl5eajT89tuOO6YLiQ1uQ9/4YJa1sHkCwxA0wt7MIk4XljomWuhKTp2CRx6BbP1dUIG+XozoHsGyfdmYjYY1DZOcrFwg3bpprcRqKqvNrDqQQ2pSJD6eDn5gSUpSBkGn3NArmvTsYk62oBauhiFohGX7svHyEIxNdKBbqJaSEnj1VdW7Vodc3zua/IsVLb48r81cuKDLOaBaNhzN52J5NeMd6RaqyyuvqAchHTKul/o9WL5ffw9xDWEYggaQUrJ8XzZDu4QR5OeEp5fERPVkpNNQupE9IvDxNLF8X8u5GRzK3LkQG6vmCXTI0r3ZBLXxYmgXB7qF6nLypHIPXbrknOM7kbh2fvSND25R175hCBpgf1YxmefLuD7ZAfHTDXHrrapG/Vn9+doDfDy5rls4K/Yb7qF6WbhQuYbim+hr7YZUVNewNj2XsUmReHs66Sfi1ltV3aFly5xzfCdzQ69o9mcVt5joIcMQNMDy/dl4mASpiZHOO8ktt6hqjHp1D/WKJre4gl1nDPfQZWRmqmghnRYY3JhxjosV1YxzRAJlQ1xzDURG6vbar3UPLWshowLDENSDlJIV+1S0UDt/b+edqGdPuPZa3ZamHtUzAm8PE8v26tcX7hRqf9x0agiW78sh0NeToc3pS2wrHh4quWz5cijV31N1XDs/+rQg95BhCOrhYPZFThaUcr0zn4hq+e47+MMfnH8eJxDo68WwbmGGe+hKPv9ctaTs3l1rJVZTVWNmTXouqT2d6BaqZdo0VZr6gj7zUW7oFcW+rKIW4R4yDEE9rNifjUnAGGe6hWoRQrmHdDoquL5XNNlF5ezJ1OfN7BQ+/VS3PXo3HyugqKzK/kqjzeG661SplRgnRSY5mXGW+cOWED1kGIIrkFKybF82gzuFEurIJLLGGD9e1WvXIaN6RuLlIVrMENkhxMfDoEFaq7CJFftz8Pf2YFg3F2a9HzkCFRVNb+dmxIf40TsuiJX79e8aNQzBFRzJvcTx/BLnTpRdSa9e8O23UFDgunM6iKA2XlzbNZzl+3KM2kMAzzyj2/IJNWbJ6gM5jOgR4bjaQk2xfr1yoemwlzfA2KQodp+5QHaR/jqv1cUwBFewYr8qOT02yQVuoVqmTFEVKnX6A5KWFEXWhTKjNHVBAfz1r7B1q9ZKbGLbiUIKSipdMzdWy9VXQ1CQbqOHal1oqw/os+tgLYYhuIKV+3NIad+OiEAHlJxuLgMGqPpDOr0ZRidGYhKw6oD+h8h2sWSJMug6dfOt2J+Nr5eJ4d1d6Bby8VGu0cWLVZ8OndE5PICuEQGs0Pk8gUMMgRAiTQhxWAiRIYR4sp71jwgh0i3N69cJIdrXWVcjhNhteWn6SHyqoIRDORcZm+SCibK6CKF+PNasUSV6dUaIvzeDOoa2CF+pXXz5JbRvD/37a63EasxmyaoDOVzXLRw/bxf3VZ4yRXXsW7/eted1EGnJUWo0dUl/8xy12G0IhBAewBvAOCARuE0IkXjFZruAFEvz+s+Bl+usK5NS9rW8JkBfevYAACAASURBVKAhtU+0LjcEAPfdp8oSeDsxb8GJjE2K5GjeJY7l669kgEO4eBFWr1YGXQit1VjN7swL5BZXuCZa6ErGjlVN7b/6yvXndgBpyVGYJaw9qF/3kCNGBAOBDCnlcSllJTAfmFh3Aynlt1LK2mDbLagm9W7HqgO5JEa3JT7Ezgb1tpCUpOKqfV3oknIgYyzGs9W6h86cUQmCOnULrTqQg6dJMLK7C+fGamnTRpWaePFF15/bAajfjDa6HhE7whDEAnUra2ValjXEvcCKOt99hRDbhRBbhBCTGtpJCDHLst32/Px8+xTXQ15xOTtPn9fmiaiWrCz4xz9UDRadERPchj5xQazS8c1gF4mJsHu3Kp2gM6SUrD6Qy9WdQ51TYLE5DB8O7dppc247EUKQlhTFxowCisv1N88BjjEE9Y2D640jFELcCaQAr9RZnCClTAFuB/4thOhc375SynellClSypRwJ3T2Wp2ei5QauYVq2b8fHntMv6F0yVHsySzi7AX9GTK7qKrSpfGu5WjeJU6cK/lpVKcZr78O772nrQYbSUuOorLGzLeH8rSWYhOOMASZQN0Si3HAz8ppCiFGA38EJkgpf5pVkVKetbwfB9YD/RygyWpWHcihY5g/3SIDtDi9YsQIFUqnV19pUm0oXSsbFaxapdqO7t6ttRKbqB3FuSSTvjGWLFF9CnSYj9Ivvh0RgT66dQ85whD8CHQVQnQUQngD04DLon+EEP2Ad1BGIK/O8nZCCB/L5zBgKJDuAE1WUVRaxeZjBYxJikRoOdHn7Q033KBuiOpq7XTYSCdLKN0qncdUW82iRaqIWuKVMRL6YFV6Dv0Sgolsq/H81OTJcPQopLv8J8BuTJZKxd8dyae8qkZrOVZjtyGQUlYDDwGrgIPAAinlASHEc0KI2iigV4AAYOEVYaI9ge1CiD3At8BLUkqXXwXfHM6l2ix/eqLVlEmTVGLSxo1aK7GJtOQotp4ooLCkUmsprqE2EfCGG3QZ8XWmsJT9WcXaukRrmWiJMdHpiHhMUhSllTVsOnZOaylW45A8AinlcillNyllZynli5Zlz0gpl1g+j5ZSRl4ZJiql3CSl7CWl7GN5n+0IPday+kAukW196BMXrMXpL2fcOAgIUPMFOmRMogql+0anvlKr2bQJ8vPV06wOWZ2uRm9uYQhiYmDwYN0agqs7hRLo46nLLONWn1lcXlXDd0fySU2MxGRyg/jvgADIzYUHH9RaiU0kx7YlOsi39cwTLFqkRgJpaVorsYlVB3LoFhlAxzB/raUobr4Z2raF8nKtlViNt6eJ4T0iWHswlxqdlWVv9YZgY8Y5SitrGOOMBvW24mfJY9DhpJkQgjGJkXx/NJ+ySv35Sq3m7rvhnXcgMFBrJVZTWFLJ9pOF7jEaqOWRR1QBRr3m0yRGcu5SJTtP66trX6s3BKsP5BLo48ngTqFaS/kf1dUwahQ8/7zWSmxiTFIU5VVmNhx1fL6H29GnD8yYobUKm1h3MBezxL0egmqDNUpKtNVhI8O7h+PtYdLdiLhVG4Ias2TdoVyG94hwfjcma/D0VLHpn3+utRKbGNgxhLa+nj/5n1ssy5apshI6ZXV6LtFBviTHttVayuW8/z6Ehan6Qzoj0NeLIV1CLXlJ+hnRu9Gvn+vZdfo85y5Vah8/XR+TJsG+fXDihNZKrMbLw8SonpGsO5hLdY1ZaznO409/guee01qFTZRV1rDhqJob0zRkuj5691ZzBMuWaa3EJsYkRnGqoJQjufqpu9WqDcHq9Fy8PIRry+42l9pQusWLtdVhI6mJkZwvrWL7KX35SpvNqVOwa5cy2Dpkw9F8yqvM7uUWqiUlRUUQ6fTaH50YgdBZWfZWawhUfZUchnQOI9BXo/oqjdG5MyQn6/ZmGNYtHG9Pky5D6ZpF7f+LTg3BmvRcAn09GdQpRGspP8dkggkTYOVKXUYPRQT60i8+mDU6co22WkOQkXeJkwWljHFlJzJreeQR3VazDPDx5JouYaxOb6EtLBcvVpnEXbporcRq1NxYHiN7RODl4aY/AZMmqQnjdeu0VmITqYlR7Msq0k0LSze9CpxP7UTm6J5ubAjuuQd+/WutVdjMmMRIMs+XcTD7otZSHEtlpWq4PnFi09u6ITtOnaewpNI93UK1jBihKvH26aO1EptItcw7rtXJqKD1GoIDOfSJd4P6Kk1RWAjffae1CpsY1TMSIdDVELlZeHurOYI//lFrJTax+kAO3h4mrnPHubFavL3h0Uchzi1blzRJl4gAOoX56yZyrlUagtzicvZkFrlntNCVPP00XH+9Lsschwf6KF/pQf1MmjUbkwn83SQb1wqklKxOz2VIl1ACfFzcktJayspg/nw4eFBrJTaRmhjJluP66FHQKg1B7ROqLgzBxIlQWqprX+n+rOKW06OgokJ1k5s/X2slNnEk9xKnC0t/cl24NZWVKnP7gw+0VmITqYmRVNVI1h92/8TKVmsI2of60SVCw94DzWX4cFW+QKfRQz/5SnXcz/UyvvlGlUkOCtJaiU2sSVejM7eeG6slKEhd/zq99vsltCPU31sXrtFWZwguVVSz+VgBqT3dMJGmPnx8lGtoyRJV8lhn1PpK9XAzNIvFi1VhwJEjtVZiE2vSc/UxN1bLxIlqYv7wYa2VWI2HSTCqZwTrD+VRWe3eiZWtzhB8dzifyhqzPobGtUycCHl5KoFJh+jJV9ooZrMyyGlpykDrDF3NjdUyfrx61+moIDUxiosV1Ww9UaC1lEZpdYZgTXoO7fy8GNBeR42yx49XT0UpKVorsQk9+UobZft2yM7WbdhorXtOVw9BCQnQr59uH4Ku6RKGr5fJ7UfEDjEEQog0IcRhIUSGEOLJetb7CCE+s6zfKoToUGfdU5blh4UQYx2hpyGqasx8cyiPkT0i8XTXRJr6CAiArl21VmEzevKVNkpAAMycqVx1OqR2bqyrHubG6vLNNzBvntYqbKKNtwfXdg1nrZsXobP711AI4QG8AYwDEoHbhBBXNm+9FzgvpewCvAr83bJvIqrHcRKQBrxpOZ5T+PFEIcXl1fp6IqrlyBGYNk31dNUZevKVNkpiIsyeDSFuWJahCS5VVLMpo4DRepkbq0uwG3QOtIPUxEjOFpVz4Gyx1lIaxBGPxQOBDCnlcSllJTAfuHLsPBGYa/n8OTBKqKtxIjBfSlkhpTwBZFiO5xRWp+fi42liWLcwZ53Cefj6wmefqY5YOkQvvtIGycuD3bt12SwI4PsjOpwbq8vjj8P06VqrsIlRPSIwCdw6ucwRhiAWOFPne6ZlWb3bWJrdFwGhzdwXACHELCHEdiHE9vx823zNVTVmRveMxM/bzRNp6iMhAfr21e2kmV58pQ3y8cfKV33qlNZKbGJNei7Bfl6k6GlurC7l5bBggS4b1oQG+DCgfTu3vvYdYQjqG2de+djU0DbN2VctlPJdKWWKlDIlPNy21PgXJ/fi9dv72bSvWzBxomqWnqe/xvB68ZU2yOLF0KsXdOigtRKrqf5pbixCX3NjdZk4URmDNWu0VmITqYmRHMwu5kxhqdZS6sURV0UmEF/nexxwtqFthBCeQBBQ2Mx9HYru/KN1mThRuSaWLtVaiU2k9nR/X2m9nDsHP/yg22ihbScLKSqr0lfY6JUMG6bmCnQ6Ik61FPhb56aJlY4wBD8CXYUQHYUQ3qjJ3yVXbLMEqHXw3Qx8I9Vj4RJgmiWqqCPQFdjmAE0tk759VS9jTx26toCRPSP0WYRu2TKVQ6BTQ7AmPRdvTxPXdnXjInNN4eWlorWWLtVlYmXHMH+6RASwxk0Ngd2/KFLKaiHEQ8AqwAP4r5TygBDiOWC7lHIJMBv4SAiRgRoJTLPse0AIsQBIB6qBB6WU+vtfdhVCwNq1WquwmbAAHwYkKF/pw6ndtJbTfJYuhdhYGDBAayVWI6VkTXou13QJw9/di8w1xd13Q1SUmido62Z9lptBamIk731/nKKyKoLauFczLIc4DKWUy6WU3aSUnaWUL1qWPWMxAkgpy6WUt0gpu0gpB0opj9fZ90XLft2llCscoafFU1UFBfqMvklNjCQ9u5jM8+7pK62XOXPUqECHbsVDORfJPF+m32ihuowdC//8py6NAKhrv9osWX/Y/eb4dDpz1IqRErp1U+F0OkRvDTsAVW5apw1S1qTnIgSM6hmhtRTHUF0NGzfqMoy3b1ww4YE+bhlGahgCvSEEDBkCX3+tS19pp/AAOof7u62v9Gf8/e/w739rrcJm1qTn0jc+mIhAnRSZa4oPPoBrrtFljwKTSTC6ZwTfHc6notq97l3DEOiRiRMhPx82b9ZaiU2kJkax9XghRaVuXoSupgb+9S/YskVrJTaRXVTGvqyiluEWquWGG9S7TqOHxiRGcamimi3HC7WWchmGIdAjaWkqikK3WcYWX+kR9/OVXsbWrSpnQ6fRQmv11ICpucTEwFVX6dYQXN05FD9vD1YfcK+ufYYh0CNt26p6+IsW6dJX2i8+mLAAH1YfcHP30OLFKlR33DitldjE6vRcOob50zlcZ0XmmmLiRGWks7O1VmI1vl4eDO8eztqDuZjN7nPvGoZArzzzjG5b+JlMgtTESNYfznM7X+llLFoEI0bosuhZcXkVW44XkJqowyJzTVE7QtNrYmViJLnFFezNKtJayk8YhkCvDBkC116ry5BGUO6KksoaNh1z0zDYS5egc2e45RatldjE+sP5VNXIljU/UEtSEnz/PcyYobUSmxjRPQIPk/ipbag7YBgCPbNjh4qr1iFXdw7F39vDfd1DAQGwfDncf7/WSmxi9YEcwgK86Z+g0yJzjSGEegjycq+krOYS7OfNoI4hbnXtG4ZAz6xcCb//PZx1ankmp+Dr5cF1bugr/YlC94rqsIaK6hrWH85ndM9IPEz6HDE2ycWL8Nhj6h7QIamJkRzNu8SJc+5RTdUwBHpm0iT1vuTK0k76YExiFPkXK9ideUFrKZeTkwMREfD++1orsYnNxwq4VFHNmKQW6Baqxc9PZXx/+KHWSmyi1mXnLu4hwxDomcRE6NIFvvpKayU2MaJ7BJ4m4VZDZEAZ1poaGOi0HklOZXV6Ln7eHgzprMMGTM3FwwMmTFClPyortVZjNXHt/EiMbus2175hCPSMEDB5surpesHNnqqbQZCfF4M6hbDaTZ6KfmLRIujUSfUf0BlmsyoyN7x7OL5eTuv66h5MmgTFxbB+vdZKbGJMUiQ7Tp8n/2KF1lIMQ6B7Jk2CwEBdptyDcg8dzy8hI++S1lIUxcWwbp0ysDqMyNqdeYH8ixWMsdS/b9GMHq3qQOk0sXJsUhRSwlo3KLdiGAK9M3iwyn69+mqtldhEra90lbtkWi5frlwNkydrrcQmVh/IxdMkGNG9hRSZa4w2bWDqVPDx0VqJTfSICiQ+pI1bXPuGIdA7JpPKfpVSNU/RGTHBbegdF+Q+KfcjRsA77ygDq0NWp+cwuFMoQX76DK20mtmz4dVXtVZhE0IIxiZGsSmjgIvl2tbdMgxBS+DoUejaFVbos53D2KQo9mQWkV1UprUUiIyEWbPUZKTOyMi7yPH8kpYdLdQQOpwjAxibHEVljZlvD+drqsMuQyCECBFCrBFCHLW8/yx7RQjRVwixWQhxQAixVwgxtc66OUKIE0KI3ZZXX3v0tFrat1fVSHXsKwW0j6DYtk09YZaXa6vDRlZZ/v1aZDZxY8ycqdsRXP+EdoQFeGs+IrZ3RPAksE5K2RVYZ/l+JaXA3VLKJCAN+LcQom7xlseklH0tr9126mmdeHurfq6LF+uyR0GXCNWjQHNf6XvvwcMP63KSGGDl/hz6xgcTHdRGaymuJSUFDh/WZcCEx091t7TtUWCvIZgIzLV8ngtMunIDKeURKeVRy+ezQB6g4y7absrkyWpUsHGj1kpsIi05iq0nCjlfolFMeE2NMqQ33KDLycfM86XsyyoiLbkVRAtdSW0Rui+/1FaHjYxJUj0KNmVoV3fLXkMQKaXMBrC8NxqqIIQYCHgDx+osftHiMnpVCNHgHSiEmCWE2C6E2J6fr60/zS0ZN079gOk0uWxsUhQ1ZqldKN2mTcqQTvrZs4wuqHUL1brZWhWxsco1pFNDMKRzKAE+npqOiJs0BEKItUKI/fW8rOrWIYSIBj4C7pFS1oa3PAX0AK4CQoAnGtpfSvmulDJFSpkSHm4MKH5GYCC88IJq8K1DesUGERPk+9MPmsv56ivlYtNp74FVB3LoERVIxzB/raVow003wc6dcPKk1kqsxsdT9ShYk55LjUZ1tzyb2kBKObqhdUKIXCFEtJQy2/JDX2/LKSFEW2AZ8LSU8qe+f7WjCaBCCPEB8Hur1Btczu/1+88nhGBMUhTztp2mtLIaP+8mL03Hcvy4MqJt27r2vA4g/2IFP54s5Dcju2otRTumTVMjgzB9ltVIS45i6d5sfjxZyOBOoS4/v72uoSXAdMvn6cDP+scJIbyBr4APpZQLr1gXbXkXqPmF/XbqMThyRLcp92OToqioNrNei1C6RYtg4cKmt3ND1h7MRUpa5/xALfHxcPvtqny4DhnRPQIfTxMr92vjHrLXELwEpAohjgKplu8IIVKEELWlG28FhgEz6gkT/UQIsQ/YB4QBL9ipx+DBB1UcvA5bWF7VoR2h/t6scPXNUJuIp8NJYlDRQu1D/egRFai1FG3Jy1P9OXK1L9lgLf4+nlzXLZyV+3M0KctulyGQUhZIKUdJKbta3gsty7dLKe+zfP5YSulVJ0T0pzBRKeVIKWUvKWWylPJOKaWbFJzRMVOmqASzAwe0VmI1nh4mxiRF8c3BXMqrXBRKJyX076/mV3RIUVkVm46dIy0pquW1pLSWvDzlHtVpPs24XlHkFJez64zrk+OMzOKWxqRJKg5epxEU45KjKKmsYcPRc6454b59sGcP6DQA4ZtDuVTVSMa0xmihK0lKUhn2X3yhtRKbGNkjEi8Pwcr92U1v7GAMQ9DSiIqCoUN1ezNc3TmUoDZerNjnopvhiy+U4dRp2OjyfTlEtfWlX3xw0xu3dIRQI+JvvoECN+2F3QhBbbwY2iWMFftzkC527RqGoCVy000qyzLb9U8W9uLlYWJMYiRrDua6JtPyiy9U/9tI/ZVluFhexXdH8hnXKwpTS21JaS233KKSA3XqHro+OZrM82UcOFvs0vMahqAlMnOmmjCLjtZaiU2M6xXFxXIXZFoePqzmUqZMce55nMQ3h/KorDZzQy99/j87hX79oFs3OHas6W3dkNRE1Wd6hYvdQ4YhaIkEBUG7n9X/0w1Du4QR6OPJcme7hwIC4Omn1QhKhyzfl01kWx/6J+j3/9rhCKHmff76V62V2EQ7f28GdwpxuXvIMAQtlV274JprICNDayVW4+PpwejESFan51JV48QeC7Gx8PzzEBfnvHM4iZKKatYfzmdccrThFroSb2/1rsMCjADjkqM5nl/C4dyLLjunYQhaKqGhqgCdTpOk0pKjKCqrYvMxJ7mHTp/WbeNzgHWH8qioNnO94Raqn3vu0W2XubTkKEwClu5xnXvIMAQtlYQE1b5ywQKtldjEdd3C8ff2YNleJ90Mc+fCjTeqQnM6ZPnebCICfUhpb7iF6iU8HFauhPPntVZiNWEBPgzpHMbSvWdd5h4yDEFL5pZbYPdulWCmM3y9PEhNjGTlgRwqq53gHlqwQLnOYmMdf2wnU1JRzbeH8xiXbEQLNcgtt0BVlSotrkNu6B3NyYJSl0UPGYagJXPzzepdp+6hG3vHUFRWxQ8ZDn5qT0+H/ftV43Md8u1h5RYaZ7iFGiYlBTp00O21n5YUhYdJsNRZI+IrMAxBSyY+Hh56SGVb6pBru4XR1tfT8b7SBQv+l3ykQ77ec5aIQB+u6hCitRT3RQg1KlizBgoLtVZjNe38vRnaJYxl+1zjHnJxrV8Dl/Of/2itwGZ8PD0YmxTFiv05lFfV4OvloIbyP/wAw4bpMs+iuLyKbw/nc+eg9ngYbqHGmT5dZdp7OOi6cTE39o7m8c/3sjeziD5Ozhw3RgStgYIC1bRDh4zvE8MlS6ikw1i9Wrcug1X71ZzJ+D76M2IuJykJHnlE5dXokLGJUXh5CJbuPev0cxmGoDUwdaqq1a7D0tRDOocS4u/t2JvBZNJtkbmv92aTEOJHX6O2UPMoKYGPP4Yc7dpA2kqQnxfXdg1n2d5sp5emNgxBa2DqVFVOYdcurZVYjaeHibTkKNYdzKO0stq+g0mpCvK9/bZjxLmYgksVbMw4x/g+0UbJ6eZy5gzcdRfMn6+1Epu4sXc0Z4vK2XnauWGwdhkCIUSIEGKNEOKo5b3eoGYhRE2dpjRL6izvKITYatn/M0s3MwNHM2UKeHnBvHlaK7GJ8b1jKKuqYd3BejuhNp+tW1WTel9fxwhzMcv3ZVNjlozvE6O1FP3Qowf07avba39MUhS+XiYW7c5y6nnsHRE8CayTUnYF1lm+10dZnaY0E+os/zvwqmX/88C9duoxqI+QEEhLUzeD2YklG5zEwI4hRLb1YfFuO91Dn3yijIBOawt9vSebbpEB9IjSX19lTbntNti2TfWl1hkBPp6kJkaxbG+2U8ut2GsIJgJzLZ/novoONwtLn+KRwOe27G9gJbffDllZupw09jAJJvaNZf3hPApLbCwJUVUFn30G48frskH92QtlbDtZyARjNGA906apd526hyb1jeF8aRXfH3FeFry9hiBSSpkNYHmPaGA7XyHEdiHEFiFE7Y99KHBBSlnr+M0E9JfmqRcmTFAF6FJStFZiE5P6xlJtliyzddJ47VpVTuKOOxwrzEV8vUf93Tf2NgyB1SQkqLkhHc6RAQzrFk47Py8W2TsiboQm8wiEEGuB+vrg/dGK8yRIKc8KIToB31ga1teXO93g1LgQYhYwCyAhIcGKUxsA4OcHnTtrrcJmekYH0j0ykK92ZXHX1R2sP0BcHPzylzBunMO1ORspJV/uzKJfQjAdwvy1lqNPli/X5UgQVLOmG3pH8/mOTC5VVBPg4/j0ryZHBFLK0Zbm8le+FgO5QohoAMt7vbN5UsqzlvfjwHqgH3AOCBZC1P5VcUCDJk9K+a6UMkVKmRKu09A/zcnNVWUnVqzQWonVCCGY3D+WnacvcKqgxPoD9OoFb775vxLFOiI9u5jDuRe5qb/+ymW7DbVGQKelqSf1jaW8yszqA84Jg7XXNbQEmG75PB34WYUnIUQ7IYSP5XMYMBRIlypv+lvg5sb2N3AgISHw/fcwe7bWSmxiQp8YhIBFu6wcIu/YoV46zKMA+HJnFl4egvG9jSQyu3j9dejeHartDEPWgAHt2xHXro3T3EP2GoKXgFQhxFEg1fIdIUSKEOJ9yzY9ge1CiD2oH/6XpJTplnVPAI8IITJQcwb6/IXSC15ecOedsGSJLpt7xwS3YXDHUBbtzrKu/srTT6va9Do0BNU1ZhbvzmJUj0iC/fQ3mnEr4uNVC8vVq7VWYjVCCCb2jeGHo/nkX6xw+PHtMgRSygIp5SgpZVfLe6Fl+XYp5X2Wz5uklL2klH0s77Pr7H9cSjlQStlFSnmLlNLxf6HB5UyfriJodBpXPbl/LCfOlbAns6h5O2RlqRv/7rtVRrHO2HD0HOcuVXJTfyOOwm7GjVMNmz78UGslNjG5XyxT+sdRUe1495b+7gwD++jTRyXYzJ3b9LZuyLjkKHw8TXyxI7N5O3z4ocqdmDHDqbqcxRc7M2nn58Xw7g0F5Bk0G29vlVOwaBFcuKC1GqvpEhHIK7f0Ia6dn8OPbRiC1sgjj8D11+vSVxro60VachSLd2dRXtXEk5GUMGcOXHstdOniEn2OpKisitXpuUzoE4O3p3GrOoTp06GiQrdFB52FcXW1Ru66C/7yF/DUZxXyqSnxFJdXs6qpCIqTJyE7W/Wv1SHL92VTWW02ooUcyYAB8OKL6uHA4CcMQ9BaqaqCr7/W5ahgcKdQ4kPa8NmPZxrfsGNHZQhuu801whzMZz+eoUtEAL3j9FlG2S0RAv7wB1WDyOAnDEPQWlm+XGUbr1qltRKrMZkEtw6IZ9OxAk4XlNa/kdmsXEP+/rosMncop5jdZy5w28AEo9KoM/juO/j0U61VuA2GIWitjBsHERHw3ntaK7GJm1PiMAlYuKOBUcEnn6gksmzX9Hx1NPO3ncHbw8RN/YxoIafw2mvwu99BpY21q1oYhiForXh7K9/50qUqxFJnRAe1YVi3cD7fkUlNfU07Zs+G8nLVqlBnlFfV8OXOTNKSo2jnb+QOOIVZs1TtqcVGDisYhqB1c//9KuVep5nGt6bEk11UzoajV1RlTE9XQ//771c+YZ2xfF82xeXVTBsYr7WUlktqqipG9+67WitxCwxD0Jrp3FndEOvXa63EJkb3jCTE35t5205fvuLtt9WIZ+ZMbYTZyfxtZ+gQ6sfVnUK1ltJy8fCA++5TVWmPHdNajeYYhqC1M2+euhl0iLeniVtT4lmTnsvZC2VqYUmJSpa7+WZd9iXOyLvEtpOFTDMmiZ3PPfdATIwqz97KMQxBayc0VJVe0GEYKcAdg1RJ8k+3WkYFXl5qRPDYYxqqsp35207jaRJMMXIHnE9cnOppPHas1ko0xzAEBqosdUwMnD7d9LZuRnyIHyN7RDJv22lVg6W2jEDfvlpLs5qSimo+236GtOQowgN9tJbTOjCZ1DzZWec1fdEDhiEwgMREOHcO3nlHayU2cffV7SkoqWTTwrXwt79BcX09j9yfL3dlcbG8mnuGdtRaSusiLU25ElsxhiEwgPbtYeJEZQhKG0jQcmOu6RJGpzB/5GuvwV//qstIIbNZMmfjCXrHBdE/IVhrOa2L8eNh82bV4L6VYhgCA8XDD6seBR99pLUSqzGZBPd39WPo9jUU3DQVAgO1lmQ1GzLOcSy/hHuGdjAmiV3NjBnqmnnteCpBmQAAEChJREFUNa2VaIZhCAwU116rCnK9+qoqz6AzJm/6Cq+aGt4bMEFrKTYxZ+MJwgN9uKGX0Zze5bRtC/feCwsWtNq5ArsMgRAiRAixRghx1PLerp5tRgghdtd5lQshJlnWzRFCnKizTn8zfC0FIZQRmDNHfw1cSkrwfe8dDg0eyexcT3KKyrVWZBXH8y/x7eF87hiUYJSb1opf/1pNGn/8sdZKNMHeq+5JYJ2UsiuwzvL9MqSU30op+0op+wIjgVKgbq+4x2rXSyl326nHwB6uvRYGD9ZahfUUFMCgQYQ+8xRmCbN/OK61IquYs+kk3h4m7hjUXmsprZdOndQ8waOPaq1EE+w1BBOB2lZXc4FJTWx/M7BCSqm/GcnWQk6OKs2wd6/WSppPQgKsWEHkuFHc2DuaT7eepqi0SmtVzSL/YgWf/XiGiX1jjJBRrRk0SGUc67C3tb3YawgipZTZAJb3pvrpTQOubJb7ohBirxDiVSFEg3eCEGKWEGK7EGJ7fn5+Q5sZ2Iu3tyrP+8orWitpHrt2walTP339xbDOlFTW8NGWk9ppsoLZP5ygqsbML4d31lqKAajWpv37t7qqpE0aAiHEWiHE/npeE605kRAiGugF1C2A/xTQA7gKCAGeaGh/KeW7UsoUKWVKuA5LB+iGkBD45S+VMThyRGs1jSMlPPCAigO3PMUlxrRlePdwPth4sulWlhpzobSSjzaf5MbeMXQKD9BajgGosiS7d7e6uYImDYGUcrSUMrme12Ig1/IDX/tDn9fIoW4FvpJS/jRml1JmS0UF8AEw0L4/x8AhPPYY+PjACy9oraRxVqxQsd8PP3xZ7sAD13WmoKSShc1tcK8RH2w8SUllDQ+O0F8/5RZLWpqKnvvb33RbdsUW7HUNLQGmWz5PBxor7n0bV7iF6hgRgZpf2G+nHgNHEBmpRgWffAJHj2qtpn6khGeeUe0or+hJPKhjCP0Sgnl7/TFVdsINuVhexZxNJxmTGEn3KP3lPbRYhICnn1aF6D77TGs1LsNeQ/ASkCqEOAqkWr4jhEgRQrxfu5EQogMQD3x3xf6fCCH2AfuAMMDNH0FbEY89ptwu/v5aK6mfxYthxw5lDLy8LlslhODR1O5kXSjjky3uWT/p4y2nKSqr4qGRxmjA7ZgwAZKTVZN7HebU2IKnPTtLKQuAUfUs3w7cV+f7SeBnPfeklCPtOb+BE4mKgjfe0FpFwxw8CElJcOed9a6+pmsYQzqH8sa3Gdx6VTwBPnZd6g6lqKyKd74/xnXdwukdZ5STcDtMJnXte3npL6fGRlrHX2lgO5s3wz/+obWKn/PUU7BzJ3g2/AP/2NjuFJRU8t8fTrhQWNO8+W0GRWVVPJHWQ2spBg0xbBhcfbXWKlyGYQgMGmfJEuUm2rpVayWKqirYskV99m68n2+/hHaMTYrkve+PU1jiHuGAZwpL+WDjSab0jyMxpq3Wcgwao6pK9Tb+5z+1VuJ0DENg0Dh/+INyE/3ud+6RaPPGG+pJbceOZm3++zHdKams5q317tGF6h+rD2MywaNjumktxaApvLwgOxuee041utea06fh0iWnHNowBAaNExioSjtv2aJyC7QkJweefRbGjVNJP82ga2QgU/rHMWfTSTLyLjpZYOPsOXOBxbvPct81nYgOaqOpFoNm8vLLqv3pc89pq8NsVg2XrrvOKQ9khiEwaJrp01Vs9RNPqJtCK558EsrLVblgK0o1PzGuB37envzxq/1IjUY1ZrPkhWXphAV484CRRawfevZUJVfeeksFKGjFf/8Lmzap4nhOKFNuGAKDpjGZ4P/+D371K1WLRQs2bVJN6R99FLp2tWrXsAAfnhzXg60nCvliZ5aTBDbOJ9tO8+PJ8zw+todbRTAZNIM//1mNjB95RJvzS6kynYcNUw9lTsC4Ig2ax5Ah6qUVZ86ocNE//tGm3aemxPP5jkz+uvwgo3pE0M6/8YlmR5J5vpSXlh/k2q5h3JJiNKXXHZGRsHAhdNNoXkcIWLMGCgud1n3PGBEYWMfq1TB6tHLRuJKpU1VFVBsT3EwmwYuTkykuq+Kvy103xJdS8tSX+wD42029jO5jemX0aFXlVkooKnLdedPT1fm8vJRBchKGITCwDrMZ1q1TafiuYMMG5R+V0u7knh5Rbbl/WCcW7shk2d5sBwlsnIU7Mtlw9BxPjutBXDs/l5zTwIlMnar6e7si4zg/H8aMUZnOTp7bMgyBgXWkpanSE//6F3x3ZcUQB3P+PNxxhyoA5qARyMOju9EvIZgnvtjLiXPOnfjOyLvE81+nM7BjiNF0pqUwdqy67p2dW2A2w913w7lz8O9/O80lVIthCAys55VXVEenO+6ALCdNvkoJv/iFiuP+9FNo45hwS29PE6/f3h9PD8GDn+x0WqnqorIq7v9wOz5eJl6d2heTyXAJtQhmzoSbb1YRbCtWOO88L78MK1cqI9Cvn/POY8EwBAbWExAAX3yhfJezZzvnHH/+s5qge+EFuOoqhx46NrgNr97al/TsYv685IDDQ0przJLfzNtF5vlS3rpzALHBRs5Ai0EI1de7d2+YNg0OHXL8OTZuVK7XqVPVw5ALMKKGDGyjTx9V66eLE6pn7t2rEnhmzoTHH3f88YERPSJ4cERn3vj2GKEB3vx+THeHTeT+feUhvjuSz99u6sVVHUIcckwDN8LfX1W/nTjROZm+PXsqI/DWW053CdViGAID26mN5z96FD76SGX9OiLPoHdvNSE9bJhTb4RHU7tTWFLJG98ew9Nk4uFU+8IDpZS8tOIQ735/nLsGt+e2gQkOUmrgdiQkqAchIf4XSRRsZyXZQ4dUf42QENULxIUYriED+/n8c3j+efWEdNHGMg5Swttvw7Jl6vvIkY1WFnUEJpPgxUm9uGVAHK+tO8pra4/a7CaqrjHzxBd7eef749w5OIE/T0hysFoDt6P2IeWFF1Tm/bFjth9rxw6Vp/PQQ47RZiWGITCwn6eegjffVJNbQ4de1ky+WZSWqi5jtV3RXIjJJHhpSm9u6h/Lq2uPcP+HOzh3qcKqYxSWVPLLT3ayYHsmvxnVlecnJuNhTA63HlJT4cIFde1v2mTdvmYzvPqqMgIBAarIoxZIKW1+AbcABwAzkNLIdmnAYSADeLLO8o7AVuAo8Bng3ZzzDhgwQBq4IatWSdm2rZTBwVJu39709mazlGvXStmnj5RCSPnss1LW1DhdZn3U1Jjl+xuOy65/XC4HPL9arj6QI81mc6P7VNeY5UebT8ref14lOz+1TH7ww3EXqTVwOw4elLJDBylByhkz5P+3d/+xVZ11HMffn7TCGLitUmaBUgaEbOtM5gxBcAlZZNmPYEAylrBEQ4jJksXp/BW76R/65/7wx/xDh2SZLnHBIGJGgIi6gftHFijTCVK1Ih1FsBVtATeghY9/PKd47Vro5N572nu+r+Tmnuc5957zfXJv7vec5zz3OT558urvOXXKvu++9J6VK+2enoqHCez3SL/RI1WO9QHcDtwK7BktEQB1wF+A+cAk4HdAa7ZuM7A2W94APDaW/UYiGMc6Ouz16+1z51J53z577177rbdSeWDA7u9Py3v3pq9gU5O9Y0c+8Q7TceK07//2rz23bbuXf3OPn93T6RN9b19OCpcuXfLB433+3u5OP/jMq57btt1rv/8b/+nk6ZwjD7k7c8Zua7OnTLHfeCPVdXWlejsd+Jw9ax89msp9fXZjo71hQ1pXBaMlArkMQ+ck7QG+5HSLyuHrlgJft31/Vn4qW/U00As02R4c/rorWbRokffvf8euwnhz/jwsWJD+a1BXBzNnpqmk16yBTZvSdYGtW2HFCrjuuryjvez84EV+duA4P2nvpr3rX0DqDp46qR4JzpwbBOC2pvfy2D0LWHnnrJg6IvzXqVMwfXpaXrUKdu6EhobUfTQwkKZQH7qfRn8/3Hhj1UKT1G570fD6aowamg0cKyl3Ax8GpgN9tgdL6t9xX+Mhkh4FHgVoaYnRGBPC5Mmpz7S9PY2w6OqC5mZYsiStl+Chh/KNcQST6+tYu7iFtYtbONJ7llc6ejj99gBnz1/kwsWLfHBOA8sWNnLzDeMneYVxZCgJQJott7U1/Uu+oSE97rgjHQRJVU0CV3LVRCDpV0DTCKu+avulMexjpEMlX6F+RLY3AhshnRGMYb9hPGhpSY/Vq/OO5P8yf8Y05s+YlncYYaJatiw9xrmrJgLb917jPrqBOSXlZuBvwD+AmyTVZ2cFQ/UhhBCqqBrDR/cBCyXNkzQJWAtsyy5c7AbWZK9bB4zlDCOEEEIZXVMikLRaUjewFNghaVdWP0vSToDsaP9xYBdwGNhs+1C2iTbgC5I6SdcMKjRxTQghhNGUZdRQtcWooRBCePdGGzUU/ywOIYSCi0QQQggFF4kghBAKLhJBCCEU3IS8WCypF3iXU1xe1kj6D0ORRJuLIdpc+661vXNtzxheOSETwbWQtH+kq+a1LNpcDNHm2lep9kbXUAghFFwkghBCKLgiJoKNeQeQg2hzMUSba19F2lu4awQhhBD+VxHPCEIIIZSIRBBCCAVXqEQg6QFJf5TUKenJvOOpJElzJO2WdFjSIUlP5B1TtUiqk/S6pO15x1INkm6StEVSR/Z5L807pkqT9Pnse31Q0iZJNXe7OEnPS+qRdLCk7n2Sfinpz9lzQzn2VZhEIKkO+C7wINAKPCKpNd+oKmoQ+KLt24ElwKdrvL2lniBNeV4U3wF+bvs24E5qvO2SZgOfBRbZ/gBQR7rPSa35IfDAsLongZdtLwRezsrXrDCJAFgMdNo+YvsC8GNgVc4xVYztE7YPZMtnSD8Oo94TulZIagZWAM/lHUs1SLoBWEZ2Lw/bF2z35RtVVdQDUyTVA9dTg3c3tP0q8M9h1auAF7LlF4CPl2NfRUoEs4FjJeVuCvDDCCDpFuAu4LV8I6mKZ4AvA5fyDqRK5gO9wA+y7rDnJE3NO6hKsn0c+AbwJnAC6Lf9i3yjqpr32z4B6WAPuLkcGy1SItAIdTU/dlbSNOCnwOdsn847nkqS9DGgx3Z73rFUUT3wIeBZ23cB/6ZM3QXjVdYvvgqYB8wCpkr6RL5RTWxFSgTdwJyScjM1eDpZStJ7SEngRdtb846nCu4GVko6Sur6+6ikH+UbUsV1A922h872tpASQy27F/ir7V7bA8BW4CM5x1Qtf5c0EyB77inHRouUCPYBCyXNkzSJdHFpW84xVYwkkfqND9v+Vt7xVIPtp2w3276F9Pm+YrumjxRtnwSOSbo1q1oO/CHHkKrhTWCJpOuz7/lyavwCeYltwLpseR3wUjk2Wl+OjUwEtgclPQ7sIo0yeN72oZzDqqS7gU8Cv5f026zuK7Z35hhTqIzPAC9mBzhHgPU5x1NRtl+TtAU4QBod9zo1ONWEpE3APUCjpG7ga8DTwGZJnyIlxIfLsq+YYiKEEIqtSF1DIYQQRhCJIIQQCi4SQQghFFwkghBCKLhIBCGEUHCRCEIIoeAiEYQQQsH9B1R7ex6k+PpvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color='red', linestyle='--')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color='red', linestyle='--')\n",
    "plt.xlim(-5, 15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color='red', linestyle='--')\n",
    "plt.xlim(-5, 15)\n",
    "plt.ylim(0, 1.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color='red', linestyle='--')\n",
    "plt.axis([-1,11, -2, 2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color='red', linestyle='--')\n",
    "plt.xlabel('x axis')\n",
    "plt.ylabel('y value')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label='sin(x)')\n",
    "plt.plot(x, cosy, color='red', linestyle='--', label='cos(x)')\n",
    "plt.xlabel('x axis')\n",
    "plt.ylabel('y value')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label='sin(x)')\n",
    "plt.plot(x, cosy, color='red', linestyle='--', label='cos(x)')\n",
    "plt.xlabel('x axis')\n",
    "plt.ylabel('y value')\n",
    "plt.legend()\n",
    "plt.title('Welcom to the ML world!')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scatter Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)\n",
    "plt.scatter(x, cosy, color='red')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.normal(0, 1, 10000)\n",
    "y = np.random.normal(0, 1, 10000)\n",
    "plt.scatter(x, y, alpha=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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